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II.C.247

From Li & Liao (2017)

II.C.247 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 99.964 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 7838), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000307 of each other at a top speed of 57.1, line up 182 times a period, and the computed loop closes to 2.8×10⁻²⁴.

Measured over one period

Period: 99.96398393
Masses: 1 : 1 : 1
Energy: -1.94210
Angular momentum: 0
Closest approach: 3.1×10⁻⁴
Top speed: 57.15
Path length: 287.65
Alignments per period: 182
Topology: ababABabaBABabaBAbabABABabABAbabABAbabABAbabaBABabaBABabaBABabABABabaBAbabABAbabABababABAbaBABabaBAbabABAbaBAB (free-group class)
Stability: unstable (|λ|max 7838)
Loop closure: 2.8×10⁻²⁴

Neighbours on the map

All II.C orbits, the families of periodic three-body orbits, or the atlas map.